Thread: complex variables, determining shape?

The question is to sketch the set of points determined by the equation.
|3z - 2i|>= 4

I know that if it was say |z -1 - 2i| = 2 that its a circle centered at (1,2) with radius 2. But im not sure how to interpret the above equation.

Try dividing by 3, should help you along

okay so now I have that |z-2/3 i|>=4/3 so im interpretting this as center of the circle is at 2/3i and radius is 4/3 and since the inequality is >= i want everything outside of the circle. Does this make sense?

Originally Posted by scubasteve123

okay so now I have that |z-2/3 i|>=4/3 so im interpretting this as center of the circle is at 2/3i and radius is 4/3 and since the inequality is >= i want everything outside of the circle. Does this make sense?

Yep that seems right from here.

Just remember that as the inequality is , you will need to include the line of the circle as well.